Progressing waves on spherical spacetimes

A family of spherically symmetrical spacetimes that are transparent to minimally coupled scalar multipole waves is investigated. The concept of transparency is reformulated in terms of the established concept of progressing waves. The set of spherically symmetric spacetimes and the family of wave equations for which the transparency condition can be shown to hold is generalized.     

The solid-phase synthesis of 2-5-linked oligoriboadenylates containing 8-bromoadenine

To increase the accessibility of 8-bromo-2′,5′-oligoadenylates, we developed a synthesis of 2′-5′-linked oligoriboadenylates containing varying numbers of 8-bromoadenosine residues based on the use of a CPG-LCA solid support and the phosphoramidite approach. Although N⁶benzoyl protection was satisfactory for incorporation of nonmodified adenine residues into 2′,5′-oligonucleotides, the effective incorporation of 8-bromoadenine into such 2′,5′-linked oligomers required use of a non acyl protecting group. Amidine protection of the purine exocyclic amino function proved compatible with all aspects of the phophoramidite approach and with the hydroxyl protection groups employed.     

Determination of erythrocyte deformability and its correlation to cellular ATP release using microbore tubing with diameters that approximate resistance vessels in vivo

A novel method is described for measuring the deformability of red blood cells (RBCs) in tubing whose diameters approximate forces encountered in vivo. Here, RBCs from rabbits are loaded into a 50 cm section of 75 microm id microbore tubing and connected to a syringe pump. This section of tubing is then connected to a 15 cm section of 25 microm id tubing. As buffer is pumped through the flow system, the RBCs are evacuated from both sections of tubing. However, the inability of the RBCs to move freely through the 25 mirom id section of tubing results in a buildup of cells at the inlet of this portion of tubing. The continued force output by the syringe pump results in a deformation of the RBCs until all of the cells are eventually evacuated from the flow system. It was found that a measurement of the time required to reach half of the maximum pressure (1/2 P(max)) may be used as an indicator of the RBC deformability. For a given sample, a simple buffer results in less time to reach 1/2 P(max) (6.9 +/- 0.2 s) than deformable RBCs (21.6 +/- 0.8 s). To verify that the increased amount of time to reach 1/2 P(max) is indeed due to the RBCs, various hematocrits of an RBC sample were investigated and, as expected, it was found that a 12% RBC hematocrit had a higher 1/2 P(max) value (26.0 s +/- 2.2 s) when compared to a 7% hematocrit (19.1 +/- 0.3 s). In addition, RBCs chemically stiffened with glutaraldehyde were shown to be 25% less deformable than normal RBCs. Finally, a study was performed to examine the relationship between RBC deformability and ATP release and it was found that ATP release increased as a function of RBC deformability. This method greatly simplifies deformability measurements, employing only a syringe pump and microbore tubing, and may lead to a more complete understanding of the physiological significance of erythrocyte deformability.     

Polyphenolics with Strong Antioxidant Activity from Acacia nilotica Ameliorate Some Biochemical Signs of Arsenic-Induced Neurotoxicity and Oxidative Stress in Mice

Neurotoxicity is a serious health problem of patients chronically exposed to arsenic. There is no specific treatment of this problem. Oxidative stress has been implicated in the pathological process of neurotoxicity. Polyphenolics have proven antioxidant activity, thereby offering protection against oxidative stress. In this study, we have isolated the polyphenolics from Acacia nilotica and investigated its effect against arsenic-induced neurotoxicity and oxidative stress in mice. Acacia nilotica polyphenolics prepared from column chromatography of the crude methanol extract using diaion resin contained a phenolic content of 452.185 ± 7.879 mg gallic acid equivalent/gm of sample and flavonoid content of 200.075 ± 0.755 mg catechin equivalent/gm of sample. The polyphenolics exhibited potent antioxidant activity with respect to free radical scavenging ability, total antioxidant activity and inhibition of lipid peroxidation. Administration of arsenic in mice showed a reduction of acetylcholinesterase activity in the brain which was counteracted by Acacia nilotica polyphenolics. Similarly, elevation of lipid peroxidation and depletion of glutathione in the brain of mice was effectively restored to normal level by Acacia nilotica polyphenolics. Gallic acid methyl ester, catechin and catechin-7-gallate were identified in the polyphenolics as the major active compounds. These results suggest that Acacia nilotica polyphenolics due to its strong antioxidant potential might be effective in the management of arsenic induced neurotoxicity.     

Progressing wave gravitational perturbations of Robertson-Walker space-times

In a series of papers Janis and coworkers found a family of Robertson-Walker space-times whose most general radiative purely gravitational perturbations could be expressed as progressing waves. In this paper we significantly generalize, simplify, and extend, their results.     

Master equation for some gauge invariant gravitational perturbations

Gerlach and Sengupta derived a master equation for arbitrary odd-parity gravitational perturbations of spherically symmetrical space-times. In this paper we show that for radiative purely gravitational perturbations of Robertson-Walker space-times the same equation governs the evenparity perturbations as well.     

Formal iteration scheme for scalar fields in some spherically symmetric spaces

The characteristic initial-value problem for the scalar wave equation in some spherically symmetrical geometries, including Reissner-Nordström exterior geometry, is considered. A modified Picard iteration making explicit use of the (known) static solutions yields a formula for the fields. The formulas extend in to the outer horizon, and from them are obtained useful expressions for the reflection and transmission amplitudes in terms of the static solutions.     

An approximation scheme for scalar waves in a Schwarzschild geometry

The Schwarzschild geometry is approximated by a certain set of conformally flat shells. As an example of the use of this approximation, the transmission coefficientT for spherical waves of monochromatic scalar radiation imploding on the black hole is calculated by solving the scalar wave equation within each conformally flat space and matching across the interfaces. The results agree with those of other authors for low and high frequencies and give values ofT at all intermediate frequencies.This work was supported by the National Research Council of Canada.     

Transfer measurements for the Ti+Ni systems at near barrier energies

Large enhancements have been observed in the sub-barrier fusion cross sections for Ti+Ni systems in our previous studies. Coupled channel calculations incorporating couplings to 2⁺ and 3⁻ states failed to explain these enhancements completely. A possibilty of transfer channels contributing to the residual enhancements had been suggested. In order to investigate the role of relevant transfer channels, measurements of one- and two-nucleon transfer were carried out for ^46,48Ti+⁶¹Ni systems. The present paper gives the results of these studies.     

Comment on the Liouville equation and multisolitons

It has been asserted in the literature that a particular solution of the Liouville equation, ?_xtσ = e^σ, can be interpreted as an N-soliton. It is shown here that this solution id in fact familiar one-soliton written in a misleading form.